The figure is not drawn to scale. PQ//SR and RQ//TP. Triangles PTQ and QRS are isosceles triangles. Find
- ∠g
- ∠h.
(a)
∠QRS = ∠QPT = 74° (RQ//TP, QP//RS)
∠PQT
= (180° - 74°) ÷ 2
= 106° ÷ 2
= 53° (Isosceles triangle)
∠RQS
= 180° - 74° - 74°
= 32° (Isosceles triangle)
∠g
= 180° - 74° - 53° - 32°
= 21° (Interior angles, QP//RS)
(b)
∠h
= 180° - 27° - 21°
= 132° (Angles sum of triangle)
Answer(s): (a) 21°; (b) 132°
